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204020032401333 = 32178174916311689
BaseRepresentation
bin101110011000111000011101…
…100011101110111110110101
3222202101010100211211012000200
4232120320131203232332311
5203220131011243320313
62001525301535231113
760654650411034231
oct5630703543567665
9882333324735020
10204020032401333
115a0094565545a5
121aa70548078499
1389ac011398215
14385489d6815c1
15188c068a65b73
hexb98e1d8eefb5

204020032401333 has 24 divisors (see below), whose sum is σ = 312034473855000. Its totient is φ = 128010995579904.

The previous prime is 204020032401329. The next prime is 204020032401377. The reversal of 204020032401333 is 333104230020402.

204020032401333 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 0 + 0 + 324 + 0 + 1 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1085249313009 + 202934783088324 = 1041753^2 + 14245518^2 .

It is not a de Polignac number, because 204020032401333 - 22 = 204020032401329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204020032401297 and 204020032401306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204020032400333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4351753 + ... + 20663441.

It is an arithmetic number, because the mean of its divisors is an integer number (13001436410625).

Almost surely, 2204020032401333 is an apocalyptic number.

It is an amenable number.

204020032401333 is a deficient number, since it is larger than the sum of its proper divisors (108014441453667).

204020032401333 is a wasteful number, since it uses less digits than its factorization.

204020032401333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16393461 (or 16393458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 204020032401333 its reverse (333104230020402), we get a palindrome (537124262421735).

The spelling of 204020032401333 in words is "two hundred four trillion, twenty billion, thirty-two million, four hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 81749 245247 735741 1389733 4169199 12507597 16311689 48935067 146805201 277298713 831896139 2495688417 1333464264061 4000392792183 12001178376549 22668892489037 68006677467111 204020032401333